Mathematical Modelling of the Human Cardiovascular System: Data, Numerical Approximation, Clinical Applications

ISBN-13: 9781108480390 / Angielski / Twarda / 2019 / 290 str.

Alfio Quarteroni; Luca Dede; Andrea Manzoni

Opis

Addresses the mathematical and numerical modelling of the human cardiovascular system, from patient data to clinical applications.

Recenzje

'Overall, there is a nice interplay between the basic biology and physiology needed to understand the model, the pros and cons of different techniques of obtaining clinical data, and the implementation of the numerical methods. Each section includes beautifully colored schematic representations of the cardiovascular system …' Sarah Patterson, Mathematical Association of America

Spis treści

Introduction; Part I. Arterial Circulation: 1. Basic facts about quantitative physiology; 2. An insight into vascular data; 3. Modelling blood flow; Part II. Heart Function: 4. Basic facts on quantitative cardiac physiology; 5. An insight into cardiac data; 6. Modelling the heart; Part III. Optimization, Control, Uncertainty and Complexity Reduction: 7. Beyond direct simulation; 8. Control and optimization; 9. Parameter estimation from clinical data; 10. Accounting for uncertainty; 11. Reduced-order modelling; References; Index.